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2231208 = 2332719233
BaseRepresentation
bin1000100000101110101000
311012100122100
420200232220
51032344313
6115453400
724651660
oct10405650
94170570
102231208
111294381
128b7260
13601755
144211a0
152e1173
hex220ba8

2231208 has 96 divisors (see below), whose sum is σ = 7300800. Its totient is φ = 601344.

The previous prime is 2231171. The next prime is 2231209. The reversal of 2231208 is 8021322.

It is a happy number.

It is a super-3 number, since 3×22312083 = 33322795661516852736, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9460 + ... + 9692.

It is an arithmetic number, because the mean of its divisors is an integer number (76050).

22231208 is an apocalyptic number.

2231208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650400).

2231208 is an abundant number, since it is smaller than the sum of its proper divisors (5069592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231208 is a wasteful number, since it uses less digits than its factorization.

2231208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2231208 is about 1493.7228658623. The cubic root of 2231208 is about 130.6712421462.

It can be divided in two parts, 223 and 1208, that added together give a triangular number (1431 = T53).

The spelling of 2231208 in words is "two million, two hundred thirty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 233 252 266 342 399 456 466 504 532 684 699 798 932 1064 1197 1368 1398 1596 1631 1864 2097 2394 2796 3192 3262 4194 4427 4788 4893 5592 6524 8388 8854 9576 9786 13048 13281 14679 16776 17708 19572 26562 29358 30989 35416 39144 39843 53124 58716 61978 79686 92967 106248 117432 123956 159372 185934 247912 278901 318744 371868 557802 743736 1115604 2231208